The truncated mean of an asymmetric distribution

✍ Scribed by A. Marazzi; C. Ruffieux

• Book ID: 104306929
• Publisher: Elsevier Science
• Year: 1999
• Tongue: English
• Weight: 251 KB
• Volume: 32
• Category: Article
• ISSN: 0167-9473
• DOI: 10.1016/s0167-9473(99)00018-3

✦ Synopsis

This paper investigates a simple procedure to estimate robustly the mean of an asymmetric distribution. The procedure removes the observations which are larger or smaller than certain limits and takes the arithmetic mean of the remaining observations, the limits being determined with the help of a parametric model, e.g., the Gamma, the Weibull or the Lognormal distribution. The breakdown point, the in uence function, the (asymptotic) variance, and the contamination bias of this estimator are explored and compared numerically with those of competing estimates.